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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#162177#7110. Kuririn MIRACLEucup-team1198#WA 377ms160188kbC++202.1kb2023-09-03 05:52:032023-09-03 05:52:03

Judging History

你现在查看的是最新测评结果

  • [2023-09-03 05:52:03]
  • 评测
  • 测评结果:WA
  • 用时:377ms
  • 内存:160188kb
  • [2023-09-03 05:52:03]
  • 提交

answer

#include <bits/stdc++.h>

#pragma GCC optimize("fast-math")

using namespace std;
#define ll long long
#define pii pair<int, int>
#define ld long double
#define all(a) (a).begin(), (a).end()

const ld pi = atan2l(1, 0) * 2;
const int T = 10000000;


ld get_dphi(ld phi, ld u, ld r) {
    ld sinp = sinl(phi);
    return (- u * sinp + sqrtl(u * u * (sinp * sinp + 3))) / (2 * r);
}

ld tphi[T + 2];

void precalc() {
    ld cur_t = 0;
    for (int i = 0; i < T; ++i) {
        ld phi = pi * i / T;
    
        ld dphi = get_dphi(phi, 1, 1);  // at further point better
        cur_t += pi / T / dphi;
        tphi[i + 1] = cur_t;
    }
}

ld get(ld phi, ld v, ld r) {
    ld prop = phi / pi * T;
    int i = floor(prop);

    return r / v * (tphi[i] * (1 - (prop - i)) + tphi[i + 1] * (prop - i));
}

double rush(ld phi, ld r, ld v, ld d, ld t) {
    d -= 2 * r + t * v;

    ld x = - 2 * r * cosl(phi);
    ld y = 2 * r * sinl(phi);

    ld x1 = d - x;
    ld y1 = y;

    ld l = sqrtl(x1 * x1 + y1 * y1);
    ld fac = 2 * v / l;

    x1 *= fac;
    y1 *= fac;

    x1 -= v;

    if (x1 * x > y * y1 - 1e-7) {
        // cerr << l << '\n';
        return l / (2 * v);
    } else {
        return -1;
    }
}

void solve() {
    ld u, r, d;
    
    u = 2.0;
    r = 3;
    d = 30;

    cin >> u >> r >> d;

    if (get(pi, u, r) * u <= d - 2 * r) {
        ld lp = pi / 2;
        ld rp = pi;

        for (int i = 0; i < 200; ++i) {
            ld mp = (lp + rp) / 2;

            ld t = get(mp, u, r);
            if (rush(mp, r, u, d, t) >= 0) {
                rp = mp;
            } else {
                lp = mp;
            }
        }

        ld t = get(rp, u, r);
        cout << t + rush(rp, r, u, d, t) << '\n';

    } else {
        cout << d / u << '\n';        
    }
}

signed main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    precalc();


    // for (int i = 0; i < T; ++i) {
    //     presin[i] = sinl(pi * i / T);
    //     precos[i] = cosl(pi * i / T);
    //     pre3sin[i] = presin[i] * presin[i] + 3;
    // }

    cout << fixed << setprecision(15);

    int t = 1000;
    cin >> t;
    while (t--) solve();


    return 0;
}

Details

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Test #1:

score: 100
Accepted
time: 367ms
memory: 160188kb

input:

1
2.00 3 30.0

output:

8.310579873394436

result:

ok found '8.3105799', expected '8.3105799', error '0.0000000'

Test #2:

score: -100
Wrong Answer
time: 377ms
memory: 160136kb

input:

100
8.66 6.05 71.59
8.44 8.67 82.55
4.23 9.68 24.74
6.63 9.95 7.45
1.2 7.27 97.55
2.08 2.94 31.61
8.48 5.56 20.16
7.35 5.55 52.48
1.35 8.15 51.23
3.88 9.02 72.37
7.03 1.97 57.03
1.78 4.44 93.44
5.5 6.11 52.94
1.09 9.64 69.01
1.01 3.54 16.78
1.63 4.55 44.06
5.82 5.51 5.92
5.62 2.93 76.01
4.75 4.43 73...

output:

4.457837084359021
5.488360779887392
5.848699763593381
1.123680241327300
43.266479694873765
8.305490069047340
2.377358490566038
4.015485950275980
37.948148148148148
11.196913490200410
4.155123625209847
27.178962846204111
4.828457745000667
63.311926605504587
16.613861386138614
15.093994367268540
1.017...

result:

wrong answer 10th numbers differ - expected: '18.6520619', found: '11.1969135', error = '0.3996957'